Information on Result #1121006
Linear OOA(3207, 45, F3, 5, 166) (dual of [(45, 5), 18, 167]-NRT-code), using juxtaposition based on
- linear OOA(372, 18, F3, 5, 63) (dual of [(18, 5), 18, 64]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(372, 19, F3, 5, 63) (dual of [(19, 5), 23, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,31P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(372, 19, F3, 5, 63) (dual of [(19, 5), 23, 64]-NRT-code), using
- linear OOA(3117, 27, F3, 5, 102) (dual of [(27, 5), 18, 103]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3117, 28, F3, 5, 102) (dual of [(28, 5), 23, 103]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,37P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(3117, 28, F3, 5, 102) (dual of [(28, 5), 23, 103]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3207, 45, F3, 5, 165) (dual of [(45, 5), 18, 166]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3207, 45, F3, 5, 164) (dual of [(45, 5), 18, 165]-NRT-code) | [i] | ||
| 3 | Linear OOA(3207, 45, F3, 5, 163) (dual of [(45, 5), 18, 164]-NRT-code) | [i] | ||